SOLUTION: Find, to the nearest tenth of a degree, all values of x in the interval 0degree <_ x < 360degree that satisfy the equation 8 cos^2 x - 2 cos x

SOLUTION: Find, to the nearest tenth of a degree, all values of x in the interval 0degree <_ x < 360degree that satisfy the equation 8 cos^2 x - 2 cos x - 1 = 0

Question 752989: Find, to the nearest tenth of a degree, all values of x in the interval 0degree <_ x < 360degree that satisfy the equation 8 cos^2 x - 2 cos x - 1 = 0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find, to the nearest tenth of a degree, all values of x in the interval 0degree <_ x < 360degree that satisfy the equation
8 cos^2 x - 2 cos x - 1 = 0
-----
Factor:
8cos^2 -4cos + 2cos -1 = 0
-----
4cos(2cos-1) + (2cos-1) = 0
(2cos-1)(4cos+1) = 0
------
cos(x) = 1/2 or cos(x) = -1/4
x = +-60 degrees or x = 104.48 or x = 255.52
=================================================
Cheers,
Stan H.

RELATED QUESTIONS
1)Find all real numbers that satisfy the equation: cos x = square root 3 / 2. 2)Solve... (answered by lynnlo)

find all the angles between 0degree to 360degree which satisfy the equation:... (answered by nerdybill)

Solve the equation for all solutions in the interval 0degree ≤ x < 360degree.... (answered by Edwin McCravy)

find the values of x for 2sinxcosx=1 where 0degree less than or equal to x less than or... (answered by Alan3354)

Find to the nearest degree, all values of X in the interval 0�≤X≤360� which... (answered by lwsshak3)

Find all values of a in degrees that satisfy the equation. Round approximate answers to... (answered by stanbon)

Find to the nearest tenth of a degree ,all values of x in the interval 0 less than/equal... (answered by Gogonati)

find to the nearest degree the values of x that satisfy the equation... (answered by lwsshak3)

Find all values of x between 0 and 360 degrees that satisfy the equation... (answered by lwsshak3)